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125240496 = 24317314951
BaseRepresentation
bin1110111011100…
…00010010110000
322201122212122220
413131300102300
5224030143441
620232201040
73050345433
oct735602260
9281585586
10125240496
1164771047
1235b39180
131cc40304
14128c181a
15aedd466
hex77704b0

125240496 has 80 divisors (see below), whose sum is σ = 353691648. Its totient is φ = 38016000.

The previous prime is 125240491. The next prime is 125240501. The reversal of 125240496 is 694042521.

It is an interprime number because it is at equal distance from previous prime (125240491) and next prime (125240501).

It is not an unprimeable number, because it can be changed into a prime (125240491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22821 + ... + 27771.

Almost surely, 2125240496 is an apocalyptic number.

125240496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125240496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176845824).

125240496 is an abundant number, since it is smaller than the sum of its proper divisors (228451152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125240496 is a wasteful number, since it uses less digits than its factorization.

125240496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 125240496 is about 11191.0900273387. The cubic root of 125240496 is about 500.3204559055.

The spelling of 125240496 in words is "one hundred twenty-five million, two hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 4951 6324 8432 9902 12648 14853 19804 25296 29706 39608 59412 79216 84167 118824 153481 168334 237648 252501 306962 336668 460443 505002 613924 673336 920886 1010004 1227848 1346672 1841772 2020008 2455696 2609177 3683544 4040016 5218354 7367088 7827531 10436708 15655062 20873416 31310124 41746832 62620248 125240496